Sign Test (1 of 2)

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Suppose a researcher were interested in whether a drug helped people fall asleep. Subjects took the drug one night and a placebo another night with the order counterbalanced. The number of minutes it took each of 8 subjects to fall asleep is shown below.
   Drug       Placebo
    12          21
     9          16
    11           8
    21          36
    17          28
    22          20
    18          29
    11          22
If the drug has no effect, then the population proportion (π) of people falling asleep faster in the drug condition is 0.50. Therefore, the null hypothesis is that π = 0.50. Of the 8 subjects, 7 fell asleep faster with the drug.
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